40% of total grade
No calculators allowed
Directions: Answer all four questions, which are weighted equally. The
suggested time is about 23 minutes for answering each question. Write all
your answers on scrap paper. Where calculations are required, clearly
show how you arrived at your answer. Where an explanation or discussion
is required, support your answers with relevant information and/or specific
examples.
- A family is building a new home in Buffalo, New York. Buffalo
experiences severe winters. Assume the following.
■ The house has 4,000 square feet.
■ 100,000 Btu of heat per square foot are required to heat the house for the
winter.
■ Natural gas sells for $5.00 per thousand cubic feet.
■ 1 cubic foot of natural gas supplies 1,000 Btu of heat energy.
■ 1 kilowatt-hour of electricity supplies 10,000 Btu of heat energy.
■ Electricity costs $50 per 500 kWh.
(a) Calculate the following, showing all the steps of your calculations,
including units.
(i) The number of cubic feet of natural gas required to heat the house for
the winter.
(ii) The cost of heating the house using natural gas.
(iii) The cost of heating the house using electricity.
(b) The homeowners are discussing with their architect the possibility of
using either active or passive solar design to reduce their heating costs.
(i) Define “active solar systems” and describe ONE method of how they
are used in heating a home.
(ii) Define “passive solar systems” and describe ONE method of how
they are used in heating a home.
(iii) Identify and describe ONE environmental benefit or ONE